Answer:

Step-by-step explanation:
Given:
KL ║ NM ,
LM = 45
m∠M = 50°
KN ⊥ NM
NL ⊥ LM
Find: KN and KL
1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,
LM = 45
m∠M = 50°
So,

Also
(angles LNM and M are complementary).
2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,
(alternate interior angles)
(angles KNL and KLN are complementary).
So,

and

Answer:
4.5+2.4=6.9
Step-by-step explanation:
Fraction form: 69/10
(10x + 4) + (5x-4) ≈ 180
solve for x and you get x≈12
plug 12 in to 5x-4 and you get 56
Step-by-step explanation:
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